100010011102091 has 2 divisors, whose sum is σ = 100010011102092. Its totient is φ = 100010011102090.

The previous prime is 100010011102063. The next prime is 100010011102117. The reversal of 100010011102091 is 190201110010001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (190201110010001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100010011102091 - 2²⁶ = 100009943993227 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010011102031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005005551045 + 50005005551046.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005551046).

Almost surely, 2^{100010011102091} is an apocalyptic number.

100010011102091 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010011102091 is an equidigital number, since it uses as much as digits as its factorization.

100010011102091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 100010011102091 its reverse (190201110010001), we get a palindrome (290211121112092).

The spelling of 100010011102091 in words is "one hundred trillion, ten billion, eleven million, one hundred two thousand, ninety-one".